MA16-04 Maths Coming soon
Cubic and Reciprocal Graphs
MA16-04
This lesson is coming soon.
In this lesson
Recognise, sketch and interpret simple cubic graphs and the reciprocal graph y=1/x, telling them apart from each other and from a quadratic.
What it covers
- Recognising and sketching the S-shaped cubic curve (y=x^3 and simple variants)
- Recognising and sketching the two-branch reciprocal curve y=1/x, including that it never touches either axis (asymptotic behaviour)
- Directly contrasting cubic vs reciprocal vs quadratic shapes side by side as a family-recognition task
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560, Edexcel IGCSE 4MA1, Cambridge IGCSE 0580
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | A12 | Recognise, sketch and interpret graphs of linear functions and quadratic functions |
| Edexcel GCSE 1MA1 | A12 | Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y = 1/x with x ≠ 0 |
| Eduqas GCSE C300 | FA12 | Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y = 1/x, with x ≠ 0 |
| Eduqas GCSE C300 | HA12 | Recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y = 1/x, with x ≠ 0, exponential functions y = kˣ for positive values of k, and the trigonometric functions (with arguments in degrees) y = sin x, y = cos x and y = tan x for angles of any size |
| OCR GCSE J560 | 7.01b | Use a table of values to plot graphs of linear and quadratic functions. |
| Edexcel IGCSE 4MA1 | H3.3A | Recognise, plot and draw graphs with equation: y = Ax³ + Bx² + Cx + D in which: (i) the constants are integers and some could be zero (ii) the letters x and y can be replaced with any other two letters or: y = Ax³ + Bx² + Cx + D + E/x + F/x² in which: (i) the constants are numerical and at least three of them are zero (ii) the letters x and y can be replaced with any other two letters or: y = sin x, y = cos x, y = tan x for angles of any size (in degrees) |
| Cambridge IGCSE 0580 | C2.10 | Graphs of functions |
| Cambridge IGCSE 0580 | E2.11 | Sketching curves |
For teachers
This GCSE Maths lesson teaches cubic and reciprocal graphs. By the end, students should be able to recognise, sketch and interpret simple cubic graphs and the reciprocal graph y=1/x, telling them apart from each other and from a quadratic. It works through two worked examples and the mistakes examiners report.